Series associated with the Zeta and related functions:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht [u.a.]
Kluwer
2001
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 388 S. |
| ISBN: | 0792370546 |
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Record in the Search Index
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| adam_text |
SERIES ASSOCIATED WITH THE ZETA AND RELATED FUNCTIONS BY H.M. SRIVASTAVA
UNIVERSITY OF VICTORIA, DEPARTMENT OF MATHEMATICS & STATISTICS,
VICTORIA, BRITISH COLUMBIA, CANADA AND JUNESANG CHOI DONGGUK UNIVERSITY,
DEPARTMENT OF MATHEMATICS, KYONGJU, REPUBLIC OF KOREA KLUWER ACADEMIC
PUBLISHERS DORDRECHT / BOSTON / LONDON TABLE OF CONTENTS PREFACE VII
ACKNOWLEDGEMENTS IX CHAPTER 1. INTRODUCTION AND PRELIMINARIES 1.1. GAMMA
AND BETA FUNCTIONS 1 1.2. POLYGAMMA FUNCTIONS 13 1.3. THE MULTIPLE GAMMA
FUNCTIONS 24 1.4. THE GAUSSIAN HYPERGEOMETRIC FUNCTION AND ITS
GENERALIZATION 44 1.5. STIRLING NUMBERS OF THE FIRST AND SECOND KIND 56
1.6. BERNOULLI AND EULER POLYNOMIALS AND NUMBERS 59 PROBLEMS 67 CHAPTER
2. THE ZETA AND RELATED FUNCTIONS 2.1. MULTIPLE HURWITZ ZETA FUNCTIONS
77 2.2. THE HURWITZ (OR GENERALIZED) ZETA FUNCTION 88 2.3. THE RIEMANN
ZETA FUNCTION 96 2.4. POLYLOGARITHM FUNCTIONS 106 2.5. HURWITZ-LERCH
ZETA FUNCTIONS 121 PROBLEMS 128 CHAPTER 3. SERIES INVOLVING ZETA
FUNCTIONS 3.1. HISTORICAL INTRODUCTION 142 3.2. USE OF THE BINOMIAL
THEOREM 143 3.3. USE OF GENERATING FUNCTIONS 152 3.4. USE OF MULTIPLE
GAMMA FUNCTIONS 159 3.5. USE OF HYPERGEOMETRIC IDENTITIES 250 3.6. OTHER
METHODS AND THEIR APPLICATIONS 260 PROBLEMS 269 CHAPTER 4. EVALUATIONS
AND SERIES REPRESENTATIONS 4.1. EVALUATION OF (2N) 275 4.2. RAPIDLY
CONVERGENT SERIES FOR (2N + 1) 280 4.3. FURTHER SERIES REPRESENTATIONS
289 4.4. COMPUTATIONAL RESULTS 295 PROBLEMS 304 \ VI TABLE OF CONTENTS
CHAPTER 5. DETERMINANTS OF THE LAPLACIANS 5.1. THE N-DIMENSIONAL PROBLEM
315 5.2. COMPUTATIONS USING THE SIMPLE AND MULTIPLE GAMMA FUNCTIONS .
318 5.3. COMPUTATIONS USING SERIES OF ZETA FUNCTIONS 325 5.4. REMARKS
AND OBSERVATIONS 328 PROBLEMS 329 CHAPTER 6. MISCELLANEOUS RESULTS 6.1.
BERNOULLI AND EULER POLYNOMIALS AT RATIONAL ARGUMENTS 335 6.2.
CLOSED-FORM SUMMATION OF TRIGONOMETRIC SERIES 341 6.3. INTEGRALS
ASSOCIATED WITH THE USE OF THE EULER-MACLAURIN SUMMATION FORMULA 344
PROBLEMS 350 BIBLIOGRAPHY 353 AUTHOR INDEX 379 SUBJECT INDEX 383 |
| any_adam_object | 1 |
| author | Srivastava, Hari M. 1940- Choi, Junesang |
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| callnumber-label | QA351 |
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| dewey-full | 515/.56 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.56 |
| dewey-search | 515/.56 |
| dewey-sort | 3515 256 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2025-03-03T13:02:19Z |
| institution | BVB |
| isbn | 0792370546 |
| language | English |
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| physical | IX, 388 S. |
| publishDate | 2001 |
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| spelling | Srivastava, Hari M. 1940- Verfasser (DE-588)12358874X aut Series associated with the Zeta and related functions by H. M. Srivastava and Junesang Choi Dordrecht [u.a.] Kluwer 2001 IX, 388 S. txt rdacontent n rdamedia nc rdacarrier Fonctions zêta Séries (Mathématiques) Functions, Zeta Series Zetafunktion (DE-588)4190764-4 gnd rswk-swf Zetafunktion (DE-588)4190764-4 s DE-604 Choi, Junesang Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009560701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Srivastava, Hari M. 1940- Choi, Junesang Series associated with the Zeta and related functions Fonctions zêta Séries (Mathématiques) Functions, Zeta Series Zetafunktion (DE-588)4190764-4 gnd |
| subject_GND | (DE-588)4190764-4 |
| title | Series associated with the Zeta and related functions |
| title_auth | Series associated with the Zeta and related functions |
| title_exact_search | Series associated with the Zeta and related functions |
| title_full | Series associated with the Zeta and related functions by H. M. Srivastava and Junesang Choi |
| title_fullStr | Series associated with the Zeta and related functions by H. M. Srivastava and Junesang Choi |
| title_full_unstemmed | Series associated with the Zeta and related functions by H. M. Srivastava and Junesang Choi |
| title_short | Series associated with the Zeta and related functions |
| title_sort | series associated with the zeta and related functions |
| topic | Fonctions zêta Séries (Mathématiques) Functions, Zeta Series Zetafunktion (DE-588)4190764-4 gnd |
| topic_facet | Fonctions zêta Séries (Mathématiques) Functions, Zeta Series Zetafunktion |
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